Abstract
The Schrödinger equation for a point particle in a quartic potential and a nonlinear Schrödinger equation are solved by the decomposition method yielding convergent series for the solutions which converge quite rapidly in physical problems involving bounded inputs and analytic functions. Several examples are given to demonstrate use of the method.
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References
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Adomian, G., Rach, R. Linear and nonlinear Schrödinger equations. Found Phys 21, 983–991 (1991). https://doi.org/10.1007/BF00733220
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DOI: https://doi.org/10.1007/BF00733220